Prime p₀= 2324037432267096737 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 10 2 4 2 40 2 10 2 (?)
a_n: 0 2 90 92 102 104 114 116 120 122 162 164 174 176
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 176
Found by: Landjunge
db: batch=81, k=14, 88 10 10 4 40 10

STPT(10)	2324036437832074781	0 2 6 8 48 50 90 92 96 98	-994435021956
STPT(10)	2324036487275088491	0 2 6 8 48 50 90 92 96 98	-944992008246
SPT(16)	2324036724651503009	0 30 54 74 80 108 128 170 192 234 254 282 288 308 332 362	-707615593728
SPT(16)	2324036808807201737	0 12 56 60 116 152 194 254 282 342 384 420 476 480 524 536	-623459895000
SPT(16)	2324037180746266537	0 10 16 30 100 156 226 244 252 270 340 396 466 480 486 496	-251520830200
STPT(10)	2324037430143913241	0 2 6 8 18 20 30 32 36 38	-2123183496
SPT(16)	2324037939612082279	0 34 42 60 70 108 144 150 172 178 214 252 262 280 288 322	507344985542
SPT(16)	2324038355805685027	0 22 34 66 82 90 112 120 136 144 166 174 190 222 234 256	923538588290
SPT(16)	2324038403149325141	0 2 26 30 60 68 126 132 206 212 270 278 308 312 336 338	970882228404
SPT(16)	2324038734128643247	0 46 70 114 130 136 244 280 360 396 504 510 526 570 594 640	1301861546510
STPT(10)	2324039215561361339	0 2 18 20 30 32 42 44 60 62	1783294264602